New effects in neutrino oscillations in matter and electromagnetic fields

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Within the recently developed Lorentz invariant approach to neutrino spin and flavour oscillations the following four new effects are discussed: 1) neutrino spin oscillations in different electromagnetic field configurations, 2) neutrino spin precession and oscillations stimulated by weak interaction with background matter without presence of electromagnetic fields, 3) the significant shift of neutrino spin and flavour oscillation resonances by matter moving with relativistic speed, if compared with the case of non-moving matter, 4) the new mechanism of electromagnetic radiation by neutrino moving in background matter and/or electromagnetic fields.
A short version of invited talk given at the 4th International Bruno Pontecorvo School on "Neutrino Oscillations, CP and CPT Violation: the Three Windows to Physics Beyond the Standard Model", Capri, May 26-29, 2003

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